The composite solid was formed by joining a square pyramid and a rectangular prism. What is the surface area of the composite solid? A rectangular prism with a length of 10 feet, width of 10 feet, and height of 6 feet. A square pyramid with triangular sides with a height of 7 feet.

The surface area of the composite solid = 480 square feet

Step-by-step explanation: Given that the rectangular prism is of length of 10 feet, width of 10 feet, and height of 6 feet.

A square pyramid with triangular sides with a height of 7 feet.

The base of the pyramid = width of the rectangular prism.

Pyramid base = 10 feet

A pyramid has 4 triangular faces

Area of a triangle = 1/2bh

Area = 1/2 × 10 ×7 = 35 square feet

Total surface area = 35 × 4 = 140

Rectangular prism has 6 faces

But we will be calculating for 5 faces

Total surface area = 2(10×6) + 2(10×6) + (10×10)

= 120 + 120 + 100

= 340

The surface area of the composite solid = pyramid surface + rectangular prism surface

= 140 + 340

= 480 square feet